What is the Greatest Common Factor of 40980 and 40992?

Greatest common factor (GCF) of 40980 and 40992 is 12.

GCF(40980,40992) = 12

We will now calculate the prime factors of 40980 and 40992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40980 and 40992.

How to find the GCF of 40980 and 40992?

We will first find the prime factorization of 40980 and 40992. After we will calculate the factors of 40980 and 40992 and find the biggest common factor number .

Step-1: Prime Factorization of 40980

Prime factors of 40980 are 2, 3, 5, 683. Prime factorization of 40980 in exponential form is:

40980 = 2² × 3¹ × 5¹ × 683¹

Step-2: Prime Factorization of 40992

Prime factors of 40992 are 2, 3, 7, 61. Prime factorization of 40992 in exponential form is:

40992 = 2⁵ × 3¹ × 7¹ × 61¹

Step-3: Factors of 40980

List of positive integer factors of 40980 that divides 40980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 683, 1366, 2049, 2732, 3415, 4098, 6830, 8196, 10245, 13660, 20490

Step-4: Factors of 40992

List of positive integer factors of 40992 that divides 40980 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 61, 84, 96, 112, 122, 168, 183, 224, 244, 336, 366, 427, 488, 672, 732, 854, 976, 1281, 1464, 1708, 1952, 2562, 2928, 3416, 5124, 5856, 6832, 10248, 13664, 20496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40980 and 40992. The biggest common factor number is the GCF number.
So the greatest common factor 40980 and 40992 is 12.

Also check out the Least Common Multiple of 40980 and 40992