What is the Greatest Common Factor of 49980 and 49988?

Greatest common factor (GCF) of 49980 and 49988 is 4.

GCF(49980,49988) = 4

We will now calculate the prime factors of 49980 and 49988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49980 and 49988.

How to find the GCF of 49980 and 49988?

We will first find the prime factorization of 49980 and 49988. After we will calculate the factors of 49980 and 49988 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 49988

Prime factors of 49988 are 2, 12497. Prime factorization of 49988 in exponential form is:

49988 = 2² × 12497¹

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 49988

List of positive integer factors of 49988 that divides 49980 without a remainder.

1, 2, 4, 12497, 24994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49980 and 49988. The biggest common factor number is the GCF number.
So the greatest common factor 49980 and 49988 is 4.

Also check out the Least Common Multiple of 49980 and 49988