What is the Greatest Common Factor of 20977 and 20988?

Greatest common factor (GCF) of 20977 and 20988 is 11.

GCF(20977,20988) = 11

We will now calculate the prime factors of 20977 and 20988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20977 and 20988.

How to find the GCF of 20977 and 20988?

We will first find the prime factorization of 20977 and 20988. After we will calculate the factors of 20977 and 20988 and find the biggest common factor number .

Step-1: Prime Factorization of 20977

Prime factors of 20977 are 11, 1907. Prime factorization of 20977 in exponential form is:

20977 = 11¹ × 1907¹

Step-2: Prime Factorization of 20988

Prime factors of 20988 are 2, 3, 11, 53. Prime factorization of 20988 in exponential form is:

20988 = 2² × 3² × 11¹ × 53¹

Step-3: Factors of 20977

List of positive integer factors of 20977 that divides 20977 without a remainder.

1, 11, 1907

Step-4: Factors of 20988

List of positive integer factors of 20988 that divides 20977 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 53, 66, 99, 106, 132, 159, 198, 212, 318, 396, 477, 583, 636, 954, 1166, 1749, 1908, 2332, 3498, 5247, 6996, 10494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20977 and 20988. The biggest common factor number is the GCF number.
So the greatest common factor 20977 and 20988 is 11.

Also check out the Least Common Multiple of 20977 and 20988