What is the Greatest Common Factor of 61875 and 61890?

Greatest common factor (GCF) of 61875 and 61890 is 15.

GCF(61875,61890) = 15

We will now calculate the prime factors of 61875 and 61890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61875 and 61890.

How to find the GCF of 61875 and 61890?

We will first find the prime factorization of 61875 and 61890. After we will calculate the factors of 61875 and 61890 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61890

Prime factors of 61890 are 2, 3, 5, 2063. Prime factorization of 61890 in exponential form is:

61890 = 2¹ × 3¹ × 5¹ × 2063¹

Step-3: Factors of 61875

List of positive integer factors of 61875 that divides 61875 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

Step-4: Factors of 61890

List of positive integer factors of 61890 that divides 61875 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2063, 4126, 6189, 10315, 12378, 20630, 30945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61875 and 61890. The biggest common factor number is the GCF number.
So the greatest common factor 61875 and 61890 is 15.

Also check out the Least Common Multiple of 61875 and 61890