What is the Greatest Common Factor of 91428 and 91448?

Greatest common factor (GCF) of 91428 and 91448 is 4.

GCF(91428,91448) = 4

We will now calculate the prime factors of 91428 and 91448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91428 and 91448.

How to find the GCF of 91428 and 91448?

We will first find the prime factorization of 91428 and 91448. After we will calculate the factors of 91428 and 91448 and find the biggest common factor number .

Step-1: Prime Factorization of 91428

Prime factors of 91428 are 2, 3, 19, 401. Prime factorization of 91428 in exponential form is:

91428 = 2² × 3¹ × 19¹ × 401¹

Step-2: Prime Factorization of 91448

Prime factors of 91448 are 2, 7, 23, 71. Prime factorization of 91448 in exponential form is:

91448 = 2³ × 7¹ × 23¹ × 71¹

Step-3: Factors of 91428

List of positive integer factors of 91428 that divides 91428 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 401, 802, 1203, 1604, 2406, 4812, 7619, 15238, 22857, 30476, 45714

Step-4: Factors of 91448

List of positive integer factors of 91448 that divides 91428 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 71, 92, 142, 161, 184, 284, 322, 497, 568, 644, 994, 1288, 1633, 1988, 3266, 3976, 6532, 11431, 13064, 22862, 45724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91428 and 91448. The biggest common factor number is the GCF number.
So the greatest common factor 91428 and 91448 is 4.

Also check out the Least Common Multiple of 91428 and 91448