What is the Greatest Common Factor of 62624 and 62634?

Greatest common factor (GCF) of 62624 and 62634 is 2.

GCF(62624,62634) = 2

We will now calculate the prime factors of 62624 and 62634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62624 and 62634.

How to find the GCF of 62624 and 62634?

We will first find the prime factorization of 62624 and 62634. After we will calculate the factors of 62624 and 62634 and find the biggest common factor number .

Step-1: Prime Factorization of 62624

Prime factors of 62624 are 2, 19, 103. Prime factorization of 62624 in exponential form is:

62624 = 2⁵ × 19¹ × 103¹

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 62624

List of positive integer factors of 62624 that divides 62624 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 103, 152, 206, 304, 412, 608, 824, 1648, 1957, 3296, 3914, 7828, 15656, 31312

Step-4: Factors of 62634

List of positive integer factors of 62634 that divides 62624 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 62624 and 62634. The biggest common factor number is the GCF number.
So the greatest common factor 62624 and 62634 is 2.

Also check out the Least Common Multiple of 62624 and 62634