What is the Greatest Common Factor of 62552 and 62566?

Greatest common factor (GCF) of 62552 and 62566 is 14.

GCF(62552,62566) = 14

We will now calculate the prime factors of 62552 and 62566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62552 and 62566.

How to find the GCF of 62552 and 62566?

We will first find the prime factorization of 62552 and 62566. After we will calculate the factors of 62552 and 62566 and find the biggest common factor number .

Step-1: Prime Factorization of 62552

Prime factors of 62552 are 2, 7, 1117. Prime factorization of 62552 in exponential form is:

62552 = 2³ × 7¹ × 1117¹

Step-2: Prime Factorization of 62566

Prime factors of 62566 are 2, 7, 41, 109. Prime factorization of 62566 in exponential form is:

62566 = 2¹ × 7¹ × 41¹ × 109¹

Step-3: Factors of 62552

List of positive integer factors of 62552 that divides 62552 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1117, 2234, 4468, 7819, 8936, 15638, 31276

Step-4: Factors of 62566

List of positive integer factors of 62566 that divides 62552 without a remainder.

1, 2, 7, 14, 41, 82, 109, 218, 287, 574, 763, 1526, 4469, 8938, 31283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62552 and 62566. The biggest common factor number is the GCF number.
So the greatest common factor 62552 and 62566 is 14.

Also check out the Least Common Multiple of 62552 and 62566