What is the Greatest Common Factor of 40953 and 40964?

Greatest common factor (GCF) of 40953 and 40964 is 11.

GCF(40953,40964) = 11

We will now calculate the prime factors of 40953 and 40964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40953 and 40964.

How to find the GCF of 40953 and 40964?

We will first find the prime factorization of 40953 and 40964. After we will calculate the factors of 40953 and 40964 and find the biggest common factor number .

Step-1: Prime Factorization of 40953

Prime factors of 40953 are 3, 11, 17, 73. Prime factorization of 40953 in exponential form is:

40953 = 3¹ × 11¹ × 17¹ × 73¹

Step-2: Prime Factorization of 40964

Prime factors of 40964 are 2, 7, 11, 19. Prime factorization of 40964 in exponential form is:

40964 = 2² × 7² × 11¹ × 19¹

Step-3: Factors of 40953

List of positive integer factors of 40953 that divides 40953 without a remainder.

1, 3, 11, 17, 33, 51, 73, 187, 219, 561, 803, 1241, 2409, 3723, 13651

Step-4: Factors of 40964

List of positive integer factors of 40964 that divides 40953 without a remainder.

1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 49, 76, 77, 98, 133, 154, 196, 209, 266, 308, 418, 532, 539, 836, 931, 1078, 1463, 1862, 2156, 2926, 3724, 5852, 10241, 20482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40953 and 40964. The biggest common factor number is the GCF number.
So the greatest common factor 40953 and 40964 is 11.

Also check out the Least Common Multiple of 40953 and 40964