Greatest Common Factor of 35 and 37

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

• Greatest Common Factor of 35 and 37 by prime factorization method
• Greatest Common Factor of 35 and 37 by matching factors method

Prime Factorization of 35

Prime factors of 35 are 5,7. Prime factorization of 35 in exponential form is:

35 = 5¹×7¹

Prime Factorization of 37

Prime factors of 37 are 37. Prime factorization of 37 in exponential form is:

37 = 37¹

∴ So by taking common prime factors GCF of 35 and 37 is 1

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors and prime factorization of 35 and 37. The biggest common factor number is the GCF number.
So the greatest common factor 35 and 37 is 1.

Also check out the Least Common Multiple of 35 and 37

(i) The GCF of 35 and 37 is associative

GCF of 35 and 37 = GCF of 37 and 35

1. What is the GCF of 35 and 37?

Answer: GCF of 35 and 37 is 1.

2. What are the Factors of 35?

Answer: Factors of 35 are 1, 5, 7, 35. There are 4 integers that are factors of 35. The greatest factor of 35 is 35.

3. What are the Factors of 37?

Answer: Factors of 37 are 1, 37. There are 2 integers that are factors of 37. The greatest factor of 37 is 37.

4. How to Find the GCF of 35 and 37?

Answer:

Greatest Common Factor of 35 and 37 = 1

Step 1: Find the prime factorization of 35

35 = 5 x 7

Step 2: Find the prime factorization of 37

37 = 37

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 35 and 37 is 1