What is the Greatest Common Factor of 1428 and 1435?

Greatest common factor (GCF) of 1428 and 1435 is 7.

GCF(1428,1435) = 7

We will now calculate the prime factors of 1428 and 1435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1428 and 1435.

How to find the GCF of 1428 and 1435?

We will first find the prime factorization of 1428 and 1435. After we will calculate the factors of 1428 and 1435 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 1435

Prime factors of 1435 are 5, 7, 41. Prime factorization of 1435 in exponential form is:

1435 = 5¹ × 7¹ × 41¹

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 1435

List of positive integer factors of 1435 that divides 1428 without a remainder.

1, 5, 7, 35, 41, 205, 287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1428 and 1435. The biggest common factor number is the GCF number.
So the greatest common factor 1428 and 1435 is 7.

Also check out the Least Common Multiple of 1428 and 1435