What is the Greatest Common Factor of 61258 and 61274?

Greatest common factor (GCF) of 61258 and 61274 is 2.

GCF(61258,61274) = 2

We will now calculate the prime factors of 61258 and 61274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61258 and 61274.

How to find the GCF of 61258 and 61274?

We will first find the prime factorization of 61258 and 61274. After we will calculate the factors of 61258 and 61274 and find the biggest common factor number .

Step-1: Prime Factorization of 61258

Prime factors of 61258 are 2, 109, 281. Prime factorization of 61258 in exponential form is:

61258 = 2¹ × 109¹ × 281¹

Step-2: Prime Factorization of 61274

Prime factors of 61274 are 2, 30637. Prime factorization of 61274 in exponential form is:

61274 = 2¹ × 30637¹

Step-3: Factors of 61258

List of positive integer factors of 61258 that divides 61258 without a remainder.

1, 2, 109, 218, 281, 562, 30629

Step-4: Factors of 61274

List of positive integer factors of 61274 that divides 61258 without a remainder.

1, 2, 30637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61258 and 61274. The biggest common factor number is the GCF number.
So the greatest common factor 61258 and 61274 is 2.

Also check out the Least Common Multiple of 61258 and 61274