What is the Greatest Common Factor of 77363 and 77374?

Greatest common factor (GCF) of 77363 and 77374 is 11.

GCF(77363,77374) = 11

We will now calculate the prime factors of 77363 and 77374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77363 and 77374.

How to find the GCF of 77363 and 77374?

We will first find the prime factorization of 77363 and 77374. After we will calculate the factors of 77363 and 77374 and find the biggest common factor number .

Step-1: Prime Factorization of 77363

Prime factors of 77363 are 11, 13, 541. Prime factorization of 77363 in exponential form is:

77363 = 11¹ × 13¹ × 541¹

Step-2: Prime Factorization of 77374

Prime factors of 77374 are 2, 11, 3517. Prime factorization of 77374 in exponential form is:

77374 = 2¹ × 11¹ × 3517¹

Step-3: Factors of 77363

List of positive integer factors of 77363 that divides 77363 without a remainder.

1, 11, 13, 143, 541, 5951, 7033

Step-4: Factors of 77374

List of positive integer factors of 77374 that divides 77363 without a remainder.

1, 2, 11, 22, 3517, 7034, 38687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77363 and 77374. The biggest common factor number is the GCF number.
So the greatest common factor 77363 and 77374 is 11.

Also check out the Least Common Multiple of 77363 and 77374