What is the Greatest Common Factor of 61250 and 61263?

Greatest common factor (GCF) of 61250 and 61263 is 1.

GCF(61250,61263) = 1

We will now calculate the prime factors of 61250 and 61263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61250 and 61263.

How to find the GCF of 61250 and 61263?

We will first find the prime factorization of 61250 and 61263. After we will calculate the factors of 61250 and 61263 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 61263

Prime factors of 61263 are 3, 2269. Prime factorization of 61263 in exponential form is:

61263 = 3³ × 2269¹

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 61263

List of positive integer factors of 61263 that divides 61250 without a remainder.

1, 3, 9, 27, 2269, 6807, 20421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61250 and 61263. The biggest common factor number is the GCF number.
So the greatest common factor 61250 and 61263 is 1.

Also check out the Least Common Multiple of 61250 and 61263