What is the Greatest Common Factor of 60974 and 60990?

Greatest common factor (GCF) of 60974 and 60990 is 2.

GCF(60974,60990) = 2

We will now calculate the prime factors of 60974 and 60990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60974 and 60990.

How to find the GCF of 60974 and 60990?

We will first find the prime factorization of 60974 and 60990. After we will calculate the factors of 60974 and 60990 and find the biggest common factor number .

Step-1: Prime Factorization of 60974

Prime factors of 60974 are 2, 43, 709. Prime factorization of 60974 in exponential form is:

60974 = 2¹ × 43¹ × 709¹

Step-2: Prime Factorization of 60990

Prime factors of 60990 are 2, 3, 5, 19, 107. Prime factorization of 60990 in exponential form is:

60990 = 2¹ × 3¹ × 5¹ × 19¹ × 107¹

Step-3: Factors of 60974

List of positive integer factors of 60974 that divides 60974 without a remainder.

1, 2, 43, 86, 709, 1418, 30487

Step-4: Factors of 60990

List of positive integer factors of 60990 that divides 60974 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 107, 114, 190, 214, 285, 321, 535, 570, 642, 1070, 1605, 2033, 3210, 4066, 6099, 10165, 12198, 20330, 30495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60974 and 60990. The biggest common factor number is the GCF number.
So the greatest common factor 60974 and 60990 is 2.

Also check out the Least Common Multiple of 60974 and 60990