What is the Greatest Common Factor of 49980 and 49992?

Greatest common factor (GCF) of 49980 and 49992 is 12.

GCF(49980,49992) = 12

We will now calculate the prime factors of 49980 and 49992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49980 and 49992.

How to find the GCF of 49980 and 49992?

We will first find the prime factorization of 49980 and 49992. After we will calculate the factors of 49980 and 49992 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 49992

Prime factors of 49992 are 2, 3, 2083. Prime factorization of 49992 in exponential form is:

49992 = 2³ × 3¹ × 2083¹

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 49992

List of positive integer factors of 49992 that divides 49980 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2083, 4166, 6249, 8332, 12498, 16664, 24996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49980 and 49992. The biggest common factor number is the GCF number.
So the greatest common factor 49980 and 49992 is 12.

Also check out the Least Common Multiple of 49980 and 49992