What is the Greatest Common Factor of 49980 and 49987?

Greatest common factor (GCF) of 49980 and 49987 is 7.

GCF(49980,49987) = 7

We will now calculate the prime factors of 49980 and 49987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49980 and 49987.

How to find the GCF of 49980 and 49987?

We will first find the prime factorization of 49980 and 49987. After we will calculate the factors of 49980 and 49987 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 49987

Prime factors of 49987 are 7, 37, 193. Prime factorization of 49987 in exponential form is:

49987 = 7¹ × 37¹ × 193¹

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 49987

List of positive integer factors of 49987 that divides 49980 without a remainder.

1, 7, 37, 193, 259, 1351, 7141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49980 and 49987. The biggest common factor number is the GCF number.
So the greatest common factor 49980 and 49987 is 7.

Also check out the Least Common Multiple of 49980 and 49987