What is the Greatest Common Factor of 61242 and 61252?

Greatest common factor (GCF) of 61242 and 61252 is 2.

GCF(61242,61252) = 2

We will now calculate the prime factors of 61242 and 61252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61242 and 61252.

How to find the GCF of 61242 and 61252?

We will first find the prime factorization of 61242 and 61252. After we will calculate the factors of 61242 and 61252 and find the biggest common factor number .

Step-1: Prime Factorization of 61242

Prime factors of 61242 are 2, 3, 59, 173. Prime factorization of 61242 in exponential form is:

61242 = 2¹ × 3¹ × 59¹ × 173¹

Step-2: Prime Factorization of 61252

Prime factors of 61252 are 2, 15313. Prime factorization of 61252 in exponential form is:

61252 = 2² × 15313¹

Step-3: Factors of 61242

List of positive integer factors of 61242 that divides 61242 without a remainder.

1, 2, 3, 6, 59, 118, 173, 177, 346, 354, 519, 1038, 10207, 20414, 30621

Step-4: Factors of 61252

List of positive integer factors of 61252 that divides 61242 without a remainder.

1, 2, 4, 15313, 30626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61242 and 61252. The biggest common factor number is the GCF number.
So the greatest common factor 61242 and 61252 is 2.

Also check out the Least Common Multiple of 61242 and 61252