What is the Greatest Common Factor of 59880 and 59890?

Greatest common factor (GCF) of 59880 and 59890 is 10.

GCF(59880,59890) = 10

We will now calculate the prime factors of 59880 and 59890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59880 and 59890.

How to find the GCF of 59880 and 59890?

We will first find the prime factorization of 59880 and 59890. After we will calculate the factors of 59880 and 59890 and find the biggest common factor number .

Step-1: Prime Factorization of 59880

Prime factors of 59880 are 2, 3, 5, 499. Prime factorization of 59880 in exponential form is:

59880 = 2³ × 3¹ × 5¹ × 499¹

Step-2: Prime Factorization of 59890

Prime factors of 59890 are 2, 5, 53, 113. Prime factorization of 59890 in exponential form is:

59890 = 2¹ × 5¹ × 53¹ × 113¹

Step-3: Factors of 59880

List of positive integer factors of 59880 that divides 59880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 499, 998, 1497, 1996, 2495, 2994, 3992, 4990, 5988, 7485, 9980, 11976, 14970, 19960, 29940

Step-4: Factors of 59890

List of positive integer factors of 59890 that divides 59880 without a remainder.

1, 2, 5, 10, 53, 106, 113, 226, 265, 530, 565, 1130, 5989, 11978, 29945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59880 and 59890. The biggest common factor number is the GCF number.
So the greatest common factor 59880 and 59890 is 10.

Also check out the Least Common Multiple of 59880 and 59890