What is the Greatest Common Factor of 61875 and 61887?

Greatest common factor (GCF) of 61875 and 61887 is 3.

GCF(61875,61887) = 3

We will now calculate the prime factors of 61875 and 61887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61875 and 61887.

How to find the GCF of 61875 and 61887?

We will first find the prime factorization of 61875 and 61887. After we will calculate the factors of 61875 and 61887 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 61887

Prime factors of 61887 are 3, 7, 421. Prime factorization of 61887 in exponential form is:

61887 = 3¹ × 7² × 421¹

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 61887

List of positive integer factors of 61887 that divides 61875 without a remainder.

1, 3, 7, 21, 49, 147, 421, 1263, 2947, 8841, 20629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61875 and 61887. The biggest common factor number is the GCF number.
So the greatest common factor 61875 and 61887 is 3.

Also check out the Least Common Multiple of 61875 and 61887