What is the Greatest Common Factor of 70092 and 70103?

Greatest common factor (GCF) of 70092 and 70103 is 11.

GCF(70092,70103) = 11

We will now calculate the prime factors of 70092 and 70103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70092 and 70103.

How to find the GCF of 70092 and 70103?

We will first find the prime factorization of 70092 and 70103. After we will calculate the factors of 70092 and 70103 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 70103

Prime factors of 70103 are 11, 6373. Prime factorization of 70103 in exponential form is:

70103 = 11¹ × 6373¹

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 70103

List of positive integer factors of 70103 that divides 70092 without a remainder.

1, 11, 6373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70092 and 70103. The biggest common factor number is the GCF number.
So the greatest common factor 70092 and 70103 is 11.

Also check out the Least Common Multiple of 70092 and 70103