What is the Greatest Common Factor of 60874 and 60888?

Greatest common factor (GCF) of 60874 and 60888 is 2.

GCF(60874,60888) = 2

We will now calculate the prime factors of 60874 and 60888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60874 and 60888.

How to find the GCF of 60874 and 60888?

We will first find the prime factorization of 60874 and 60888. After we will calculate the factors of 60874 and 60888 and find the biggest common factor number .

Step-1: Prime Factorization of 60874

Prime factors of 60874 are 2, 11, 2767. Prime factorization of 60874 in exponential form is:

60874 = 2¹ × 11¹ × 2767¹

Step-2: Prime Factorization of 60888

Prime factors of 60888 are 2, 3, 43, 59. Prime factorization of 60888 in exponential form is:

60888 = 2³ × 3¹ × 43¹ × 59¹

Step-3: Factors of 60874

List of positive integer factors of 60874 that divides 60874 without a remainder.

1, 2, 11, 22, 2767, 5534, 30437

Step-4: Factors of 60888

List of positive integer factors of 60888 that divides 60874 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 59, 86, 118, 129, 172, 177, 236, 258, 344, 354, 472, 516, 708, 1032, 1416, 2537, 5074, 7611, 10148, 15222, 20296, 30444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60874 and 60888. The biggest common factor number is the GCF number.
So the greatest common factor 60874 and 60888 is 2.

Also check out the Least Common Multiple of 60874 and 60888