What is the Greatest Common Factor of 61870 and 61875?

Greatest common factor (GCF) of 61870 and 61875 is 5.

GCF(61870,61875) = 5

We will now calculate the prime factors of 61870 and 61875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61870 and 61875.

How to find the GCF of 61870 and 61875?

We will first find the prime factorization of 61870 and 61875. After we will calculate the factors of 61870 and 61875 and find the biggest common factor number .

Step-1: Prime Factorization of 61870

Prime factors of 61870 are 2, 5, 23, 269. Prime factorization of 61870 in exponential form is:

61870 = 2¹ × 5¹ × 23¹ × 269¹

Step-2: Prime Factorization of 61875

Prime factors of 61875 are 3, 5, 11. Prime factorization of 61875 in exponential form is:

61875 = 3² × 5⁴ × 11¹

Step-3: Factors of 61870

List of positive integer factors of 61870 that divides 61870 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 269, 538, 1345, 2690, 6187, 12374, 30935

Step-4: Factors of 61875

List of positive integer factors of 61875 that divides 61870 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 125, 165, 225, 275, 375, 495, 625, 825, 1125, 1375, 1875, 2475, 4125, 5625, 6875, 12375, 20625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61870 and 61875. The biggest common factor number is the GCF number.
So the greatest common factor 61870 and 61875 is 5.

Also check out the Least Common Multiple of 61870 and 61875