What is the Greatest Common Factor of 62628 and 62634?

Greatest common factor (GCF) of 62628 and 62634 is 6.

GCF(62628,62634) = 6

We will now calculate the prime factors of 62628 and 62634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62628 and 62634.

How to find the GCF of 62628 and 62634?

We will first find the prime factorization of 62628 and 62634. After we will calculate the factors of 62628 and 62634 and find the biggest common factor number .

Step-1: Prime Factorization of 62628

Prime factors of 62628 are 2, 3, 17, 307. Prime factorization of 62628 in exponential form is:

62628 = 2² × 3¹ × 17¹ × 307¹

Step-2: Prime Factorization of 62634

Prime factors of 62634 are 2, 3, 11, 13, 73. Prime factorization of 62634 in exponential form is:

62634 = 2¹ × 3¹ × 11¹ × 13¹ × 73¹

Step-3: Factors of 62628

List of positive integer factors of 62628 that divides 62628 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 307, 614, 921, 1228, 1842, 3684, 5219, 10438, 15657, 20876, 31314

Step-4: Factors of 62634

List of positive integer factors of 62634 that divides 62628 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 73, 78, 143, 146, 219, 286, 429, 438, 803, 858, 949, 1606, 1898, 2409, 2847, 4818, 5694, 10439, 20878, 31317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62628 and 62634. The biggest common factor number is the GCF number.
So the greatest common factor 62628 and 62634 is 6.

Also check out the Least Common Multiple of 62628 and 62634