What is the Greatest Common Factor of 49980 and 49990?

Greatest common factor (GCF) of 49980 and 49990 is 10.

GCF(49980,49990) = 10

We will now calculate the prime factors of 49980 and 49990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49980 and 49990.

How to find the GCF of 49980 and 49990?

We will first find the prime factorization of 49980 and 49990. After we will calculate the factors of 49980 and 49990 and find the biggest common factor number .

Step-1: Prime Factorization of 49980

Prime factors of 49980 are 2, 3, 5, 7, 17. Prime factorization of 49980 in exponential form is:

49980 = 2² × 3¹ × 5¹ × 7² × 17¹

Step-2: Prime Factorization of 49990

Prime factors of 49990 are 2, 5, 4999. Prime factorization of 49990 in exponential form is:

49990 = 2¹ × 5¹ × 4999¹

Step-3: Factors of 49980

List of positive integer factors of 49980 that divides 49980 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 49, 51, 60, 68, 70, 84, 85, 98, 102, 105, 119, 140, 147, 170, 196, 204, 210, 238, 245, 255, 294, 340, 357, 420, 476, 490, 510, 588, 595, 714, 735, 833, 980, 1020, 1190, 1428, 1470, 1666, 1785, 2380, 2499, 2940, 3332, 3570, 4165, 4998, 7140, 8330, 9996, 12495, 16660, 24990

Step-4: Factors of 49990

List of positive integer factors of 49990 that divides 49980 without a remainder.

1, 2, 5, 10, 4999, 9998, 24995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49980 and 49990. The biggest common factor number is the GCF number.
So the greatest common factor 49980 and 49990 is 10.

Also check out the Least Common Multiple of 49980 and 49990