What is the Greatest Common Factor of 62634 and 62649?

Greatest common factor (GCF) of 62634 and 62649 is 3.

GCF(62634,62649) = 3

We will now calculate the prime factors of 62634 and 62649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62634 and 62649.

How to find the GCF of 62634 and 62649?

We will first find the prime factorization of 62634 and 62649. After we will calculate the factors of 62634 and 62649 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 62649

Prime factors of 62649 are 3, 6961. Prime factorization of 62649 in exponential form is:

62649 = 3² × 6961¹

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 62649

List of positive integer factors of 62649 that divides 62634 without a remainder.

1, 3, 9, 6961, 20883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62634 and 62649. The biggest common factor number is the GCF number.
So the greatest common factor 62634 and 62649 is 3.

Also check out the Least Common Multiple of 62634 and 62649