What is the Greatest Common Factor of 94980 and 94990?

Greatest common factor (GCF) of 94980 and 94990 is 10.

GCF(94980,94990) = 10

We will now calculate the prime factors of 94980 and 94990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94980 and 94990.

How to find the GCF of 94980 and 94990?

We will first find the prime factorization of 94980 and 94990. After we will calculate the factors of 94980 and 94990 and find the biggest common factor number .

Step-1: Prime Factorization of 94980

Prime factors of 94980 are 2, 3, 5, 1583. Prime factorization of 94980 in exponential form is:

94980 = 2² × 3¹ × 5¹ × 1583¹

Step-2: Prime Factorization of 94990

Prime factors of 94990 are 2, 5, 7, 23, 59. Prime factorization of 94990 in exponential form is:

94990 = 2¹ × 5¹ × 7¹ × 23¹ × 59¹

Step-3: Factors of 94980

List of positive integer factors of 94980 that divides 94980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1583, 3166, 4749, 6332, 7915, 9498, 15830, 18996, 23745, 31660, 47490

Step-4: Factors of 94990

List of positive integer factors of 94990 that divides 94980 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 59, 70, 115, 118, 161, 230, 295, 322, 413, 590, 805, 826, 1357, 1610, 2065, 2714, 4130, 6785, 9499, 13570, 18998, 47495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94980 and 94990. The biggest common factor number is the GCF number.
So the greatest common factor 94980 and 94990 is 10.

Also check out the Least Common Multiple of 94980 and 94990