Greatest Common Factor of 62 and 67

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

• Greatest Common Factor of 62 and 67 by prime factorization method
• Greatest Common Factor of 62 and 67 by matching factors method

Prime Factorization of 62

Prime factors of 62 are 2,31. Prime factorization of 62 in exponential form is:

62 = 2¹×31¹

Prime Factorization of 67

Prime factors of 67 are 67. Prime factorization of 67 in exponential form is:

67 = 67¹

∴ So by taking common prime factors GCF of 62 and 67 is 1

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Greatest Common Factor

We found the factors and prime factorization of 62 and 67. The biggest common factor number is the GCF number.
So the greatest common factor 62 and 67 is 1.

Also check out the Least Common Multiple of 62 and 67

(i) The GCF of 62 and 67 is associative

GCF of 62 and 67 = GCF of 67 and 62

1. What is the GCF of 62 and 67?

Answer: GCF of 62 and 67 is 1.

2. What are the Factors of 62?

Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.

3. What are the Factors of 67?

Answer: Factors of 67 are 1, 67. There are 2 integers that are factors of 67. The greatest factor of 67 is 67.

4. How to Find the GCF of 62 and 67?

Answer:

Greatest Common Factor of 62 and 67 = 1

Step 1: Find the prime factorization of 62

62 = 2 x 31

Step 2: Find the prime factorization of 67

67 = 67

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 62 and 67 is 1