What is the Greatest Common Factor of 1428 and 1437?

Greatest common factor (GCF) of 1428 and 1437 is 3.

GCF(1428,1437) = 3

We will now calculate the prime factors of 1428 and 1437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1428 and 1437.

How to find the GCF of 1428 and 1437?

We will first find the prime factorization of 1428 and 1437. After we will calculate the factors of 1428 and 1437 and find the biggest common factor number .

Step-1: Prime Factorization of 1428

Prime factors of 1428 are 2, 3, 7, 17. Prime factorization of 1428 in exponential form is:

1428 = 2² × 3¹ × 7¹ × 17¹

Step-2: Prime Factorization of 1437

Prime factors of 1437 are 3, 479. Prime factorization of 1437 in exponential form is:

1437 = 3¹ × 479¹

Step-3: Factors of 1428

List of positive integer factors of 1428 that divides 1428 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714

Step-4: Factors of 1437

List of positive integer factors of 1437 that divides 1428 without a remainder.

1, 3, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1428 and 1437. The biggest common factor number is the GCF number.
So the greatest common factor 1428 and 1437 is 3.

Also check out the Least Common Multiple of 1428 and 1437