What is the Greatest Common Factor of 59874 and 59890?

Greatest common factor (GCF) of 59874 and 59890 is 2.

GCF(59874,59890) = 2

We will now calculate the prime factors of 59874 and 59890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59874 and 59890.

How to find the GCF of 59874 and 59890?

We will first find the prime factorization of 59874 and 59890. After we will calculate the factors of 59874 and 59890 and find the biggest common factor number .

Step-1: Prime Factorization of 59874

Prime factors of 59874 are 2, 3, 17, 587. Prime factorization of 59874 in exponential form is:

59874 = 2¹ × 3¹ × 17¹ × 587¹

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 59874

List of positive integer factors of 59874 that divides 59874 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 587, 1174, 1761, 3522, 9979, 19958, 29937

Step-4: Factors of 59890

List of positive integer factors of 59890 that divides 59874 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 59874 and 59890. The biggest common factor number is the GCF number.
So the greatest common factor 59874 and 59890 is 2.

Also check out the Least Common Multiple of 59874 and 59890