What is the Greatest Common Factor of 91408 and 91420?

Greatest common factor (GCF) of 91408 and 91420 is 4.

GCF(91408,91420) = 4

We will now calculate the prime factors of 91408 and 91420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91408 and 91420.

How to find the GCF of 91408 and 91420?

We will first find the prime factorization of 91408 and 91420. After we will calculate the factors of 91408 and 91420 and find the biggest common factor number .

Step-1: Prime Factorization of 91408

Prime factors of 91408 are 2, 29, 197. Prime factorization of 91408 in exponential form is:

91408 = 2⁴ × 29¹ × 197¹

Step-2: Prime Factorization of 91420

Prime factors of 91420 are 2, 5, 7, 653. Prime factorization of 91420 in exponential form is:

91420 = 2² × 5¹ × 7¹ × 653¹

Step-3: Factors of 91408

List of positive integer factors of 91408 that divides 91408 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 197, 232, 394, 464, 788, 1576, 3152, 5713, 11426, 22852, 45704

Step-4: Factors of 91420

List of positive integer factors of 91420 that divides 91408 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 653, 1306, 2612, 3265, 4571, 6530, 9142, 13060, 18284, 22855, 45710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91408 and 91420. The biggest common factor number is the GCF number.
So the greatest common factor 91408 and 91420 is 4.

Also check out the Least Common Multiple of 91408 and 91420