What is the Greatest Common Factor of 61250 and 61265?

Greatest common factor (GCF) of 61250 and 61265 is 5.

GCF(61250,61265) = 5

We will now calculate the prime factors of 61250 and 61265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61250 and 61265.

How to find the GCF of 61250 and 61265?

We will first find the prime factorization of 61250 and 61265. After we will calculate the factors of 61250 and 61265 and find the biggest common factor number .

Step-1: Prime Factorization of 61250

Prime factors of 61250 are 2, 5, 7. Prime factorization of 61250 in exponential form is:

61250 = 2¹ × 5⁴ × 7²

Step-2: Prime Factorization of 61265

Prime factors of 61265 are 5, 12253. Prime factorization of 61265 in exponential form is:

61265 = 5¹ × 12253¹

Step-3: Factors of 61250

List of positive integer factors of 61250 that divides 61250 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 125, 175, 245, 250, 350, 490, 625, 875, 1225, 1250, 1750, 2450, 4375, 6125, 8750, 12250, 30625

Step-4: Factors of 61265

List of positive integer factors of 61265 that divides 61250 without a remainder.

1, 5, 12253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61250 and 61265. The biggest common factor number is the GCF number.
So the greatest common factor 61250 and 61265 is 5.

Also check out the Least Common Multiple of 61250 and 61265