What is the Greatest Common Factor of 61838 and 61852?

Greatest common factor (GCF) of 61838 and 61852 is 14.

GCF(61838,61852) = 14

We will now calculate the prime factors of 61838 and 61852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61838 and 61852.

How to find the GCF of 61838 and 61852?

We will first find the prime factorization of 61838 and 61852. After we will calculate the factors of 61838 and 61852 and find the biggest common factor number .

Step-1: Prime Factorization of 61838

Prime factors of 61838 are 2, 7, 631. Prime factorization of 61838 in exponential form is:

61838 = 2¹ × 7² × 631¹

Step-2: Prime Factorization of 61852

Prime factors of 61852 are 2, 7, 47. Prime factorization of 61852 in exponential form is:

61852 = 2² × 7¹ × 47²

Step-3: Factors of 61838

List of positive integer factors of 61838 that divides 61838 without a remainder.

1, 2, 7, 14, 49, 98, 631, 1262, 4417, 8834, 30919

Step-4: Factors of 61852

List of positive integer factors of 61852 that divides 61838 without a remainder.

1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316, 2209, 4418, 8836, 15463, 30926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61838 and 61852. The biggest common factor number is the GCF number.
So the greatest common factor 61838 and 61852 is 14.

Also check out the Least Common Multiple of 61838 and 61852