What is the Greatest Common Factor of 93450 and 93464?

Greatest common factor (GCF) of 93450 and 93464 is 14.

GCF(93450,93464) = 14

We will now calculate the prime factors of 93450 and 93464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93450 and 93464.

How to find the GCF of 93450 and 93464?

We will first find the prime factorization of 93450 and 93464. After we will calculate the factors of 93450 and 93464 and find the biggest common factor number .

Step-1: Prime Factorization of 93450

Prime factors of 93450 are 2, 3, 5, 7, 89. Prime factorization of 93450 in exponential form is:

93450 = 2¹ × 3¹ × 5² × 7¹ × 89¹

Step-2: Prime Factorization of 93464

Prime factors of 93464 are 2, 7, 1669. Prime factorization of 93464 in exponential form is:

93464 = 2³ × 7¹ × 1669¹

Step-3: Factors of 93450

List of positive integer factors of 93450 that divides 93450 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 89, 105, 150, 175, 178, 210, 267, 350, 445, 525, 534, 623, 890, 1050, 1246, 1335, 1869, 2225, 2670, 3115, 3738, 4450, 6230, 6675, 9345, 13350, 15575, 18690, 31150, 46725

Step-4: Factors of 93464

List of positive integer factors of 93464 that divides 93450 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1669, 3338, 6676, 11683, 13352, 23366, 46732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93450 and 93464. The biggest common factor number is the GCF number.
So the greatest common factor 93450 and 93464 is 14.

Also check out the Least Common Multiple of 93450 and 93464