Greatest Common Factor of 1520 and 1525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1520, 1525 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1520 and 1525 is 5.

GCF(1520,1525) = 5

GCF of 1520 and 1525

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1520 and 1525

GCF of 1520 and 1525 is 5

Prime Factorization of 1520


2 1520
2 760
2 380
2 190
5 95
19 19
1

Prime factors of 1520 are 2,5,19. Prime factorization of 1520 in exponential form is:

1520 = 24×51×191

Prime Factorization of 1525


5 1525
5 305
61 61
1

Prime factors of 1525 are 5,61. Prime factorization of 1525 in exponential form is:

1525 = 52×611

∴ So by taking common prime factors GCF of 1520 and 1525 is 5

Greatest Common Factor of 1520 and 1525 by matching factors method

Factors of 1520

List of positive integer factors of 1520 that divides 1520 without a remainder.

1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520

Factors of 1525

List of positive integer factors of 1525 that divides 1525 without a remainder.

1,5,25,61,305,1525

Greatest Common Factor

We found the factors and prime factorization of 1520 and 1525. The biggest common factor number is the GCF number.
So the greatest common factor 1520 and 1525 is 5.

Also check out the Least Common Multiple of 1520 and 1525

Properties of GCF 1520 and 1525

(i) The GCF of 1520 and 1525 is associative

GCF of 1520 and 1525 = GCF of 1525 and 1520

Related Greatest Common Factor of 1520

Related Greatest Common Factor of 1525

Frequently Asked Questions on GCF of 1520 and 1525

1. What is the GCF of 1520 and 1525?

Answer: GCF of 1520 and 1525 is 5.

2. What are the Factors of 1520?

Answer: Factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520. There are 20 integers that are factors of 1520. The greatest factor of 1520 is 1520.

3. What are the Factors of 1525?

Answer: Factors of 1525 are 1, 5, 25, 61, 305, 1525. There are 6 integers that are factors of 1525. The greatest factor of 1525 is 1525.

4. How to Find the GCF of 1520 and 1525?

Answer:

Greatest Common Factor of 1520 and 1525 = 5

Step 1: Find the prime factorization of 1520

1520 = 2 x 2 x 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 1525

1525 = 5 x 5 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 1520 and 1525 is 5