What is the Greatest Common Factor of 62634 and 62647?

Greatest common factor (GCF) of 62634 and 62647 is 13.

GCF(62634,62647) = 13

We will now calculate the prime factors of 62634 and 62647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62634 and 62647.

How to find the GCF of 62634 and 62647?

We will first find the prime factorization of 62634 and 62647. After we will calculate the factors of 62634 and 62647 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62647

Prime factors of 62647 are 13, 61, 79. Prime factorization of 62647 in exponential form is:

62647 = 13¹ × 61¹ × 79¹

Step-3: Factors of 62634

List of positive integer factors of 62634 that divides 62634 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

Step-4: Factors of 62647

List of positive integer factors of 62647 that divides 62634 without a remainder.

1, 13, 61, 79, 793, 1027, 4819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62634 and 62647. The biggest common factor number is the GCF number.
So the greatest common factor 62634 and 62647 is 13.

Also check out the Least Common Multiple of 62634 and 62647