What is the Greatest Common Factor of 62634 and 62645?

Greatest common factor (GCF) of 62634 and 62645 is 11.

GCF(62634,62645) = 11

We will now calculate the prime factors of 62634 and 62645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62634 and 62645.

How to find the GCF of 62634 and 62645?

We will first find the prime factorization of 62634 and 62645. After we will calculate the factors of 62634 and 62645 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 62645

Prime factors of 62645 are 5, 11, 17, 67. Prime factorization of 62645 in exponential form is:

62645 = 5¹ × 11¹ × 17¹ × 67¹

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 62645

List of positive integer factors of 62645 that divides 62634 without a remainder.

1, 5, 11, 17, 55, 67, 85, 187, 335, 737, 935, 1139, 3685, 5695, 12529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62634 and 62645. The biggest common factor number is the GCF number.
So the greatest common factor 62634 and 62645 is 11.

Also check out the Least Common Multiple of 62634 and 62645