What is the Greatest Common Factor of 77451 and 77469?

Greatest common factor (GCF) of 77451 and 77469 is 3.

GCF(77451,77469) = 3

We will now calculate the prime factors of 77451 and 77469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77451 and 77469.

How to find the GCF of 77451 and 77469?

We will first find the prime factorization of 77451 and 77469. After we will calculate the factors of 77451 and 77469 and find the biggest common factor number .

Step-1: Prime Factorization of 77451

Prime factors of 77451 are 3, 11, 2347. Prime factorization of 77451 in exponential form is:

77451 = 3¹ × 11¹ × 2347¹

Step-2: Prime Factorization of 77469

Prime factors of 77469 are 3, 7, 17, 31. Prime factorization of 77469 in exponential form is:

77469 = 3¹ × 7² × 17¹ × 31¹

Step-3: Factors of 77451

List of positive integer factors of 77451 that divides 77451 without a remainder.

1, 3, 11, 33, 2347, 7041, 25817

Step-4: Factors of 77469

List of positive integer factors of 77469 that divides 77451 without a remainder.

1, 3, 7, 17, 21, 31, 49, 51, 93, 119, 147, 217, 357, 527, 651, 833, 1519, 1581, 2499, 3689, 4557, 11067, 25823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77451 and 77469. The biggest common factor number is the GCF number.
So the greatest common factor 77451 and 77469 is 3.

Also check out the Least Common Multiple of 77451 and 77469