What is the Greatest Common Factor of 61258 and 61270?

Greatest common factor (GCF) of 61258 and 61270 is 2.

GCF(61258,61270) = 2

We will now calculate the prime factors of 61258 and 61270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61258 and 61270.

How to find the GCF of 61258 and 61270?

We will first find the prime factorization of 61258 and 61270. After we will calculate the factors of 61258 and 61270 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 61270

Prime factors of 61270 are 2, 5, 11, 557. Prime factorization of 61270 in exponential form is:

61270 = 2¹ × 5¹ × 11¹ × 557¹

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 61270

List of positive integer factors of 61270 that divides 61258 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 557, 1114, 2785, 5570, 6127, 12254, 30635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61258 and 61270. The biggest common factor number is the GCF number.
So the greatest common factor 61258 and 61270 is 2.

Also check out the Least Common Multiple of 61258 and 61270