What is the Greatest Common Factor of 62844 and 62852?

Greatest common factor (GCF) of 62844 and 62852 is 4.

GCF(62844,62852) = 4

We will now calculate the prime factors of 62844 and 62852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62844 and 62852.

How to find the GCF of 62844 and 62852?

We will first find the prime factorization of 62844 and 62852. After we will calculate the factors of 62844 and 62852 and find the biggest common factor number .

Step-1: Prime Factorization of 62844

Prime factors of 62844 are 2, 3, 5237. Prime factorization of 62844 in exponential form is:

62844 = 2² × 3¹ × 5237¹

Step-2: Prime Factorization of 62852

Prime factors of 62852 are 2, 19, 827. Prime factorization of 62852 in exponential form is:

62852 = 2² × 19¹ × 827¹

Step-3: Factors of 62844

List of positive integer factors of 62844 that divides 62844 without a remainder.

1, 2, 3, 4, 6, 12, 5237, 10474, 15711, 20948, 31422

Step-4: Factors of 62852

List of positive integer factors of 62852 that divides 62844 without a remainder.

1, 2, 4, 19, 38, 76, 827, 1654, 3308, 15713, 31426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62844 and 62852. The biggest common factor number is the GCF number.
So the greatest common factor 62844 and 62852 is 4.

Also check out the Least Common Multiple of 62844 and 62852