What is the Greatest Common Factor of 70092 and 70096?

Greatest common factor (GCF) of 70092 and 70096 is 4.

GCF(70092,70096) = 4

We will now calculate the prime factors of 70092 and 70096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70092 and 70096.

How to find the GCF of 70092 and 70096?

We will first find the prime factorization of 70092 and 70096. After we will calculate the factors of 70092 and 70096 and find the biggest common factor number .

Step-1: Prime Factorization of 70092

Prime factors of 70092 are 2, 3, 11, 59. Prime factorization of 70092 in exponential form is:

70092 = 2² × 3³ × 11¹ × 59¹

Step-2: Prime Factorization of 70096

Prime factors of 70096 are 2, 13, 337. Prime factorization of 70096 in exponential form is:

70096 = 2⁴ × 13¹ × 337¹

Step-3: Factors of 70092

List of positive integer factors of 70092 that divides 70092 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 59, 66, 99, 108, 118, 132, 177, 198, 236, 297, 354, 396, 531, 594, 649, 708, 1062, 1188, 1298, 1593, 1947, 2124, 2596, 3186, 3894, 5841, 6372, 7788, 11682, 17523, 23364, 35046

Step-4: Factors of 70096

List of positive integer factors of 70096 that divides 70092 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 337, 674, 1348, 2696, 4381, 5392, 8762, 17524, 35048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70092 and 70096. The biggest common factor number is the GCF number.
So the greatest common factor 70092 and 70096 is 4.

Also check out the Least Common Multiple of 70092 and 70096