What is the Greatest Common Factor of 62754 and 62760?

Greatest common factor (GCF) of 62754 and 62760 is 6.

GCF(62754,62760) = 6

We will now calculate the prime factors of 62754 and 62760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62754 and 62760.

How to find the GCF of 62754 and 62760?

We will first find the prime factorization of 62754 and 62760. After we will calculate the factors of 62754 and 62760 and find the biggest common factor number .

Step-1: Prime Factorization of 62754

Prime factors of 62754 are 2, 3, 10459. Prime factorization of 62754 in exponential form is:

62754 = 2¹ × 3¹ × 10459¹

Step-2: Prime Factorization of 62760

Prime factors of 62760 are 2, 3, 5, 523. Prime factorization of 62760 in exponential form is:

62760 = 2³ × 3¹ × 5¹ × 523¹

Step-3: Factors of 62754

List of positive integer factors of 62754 that divides 62754 without a remainder.

1, 2, 3, 6, 10459, 20918, 31377

Step-4: Factors of 62760

List of positive integer factors of 62760 that divides 62754 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 523, 1046, 1569, 2092, 2615, 3138, 4184, 5230, 6276, 7845, 10460, 12552, 15690, 20920, 31380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62754 and 62760. The biggest common factor number is the GCF number.
So the greatest common factor 62754 and 62760 is 6.

Also check out the Least Common Multiple of 62754 and 62760