What is the Greatest Common Factor of 69846 and 69853?

Greatest common factor (GCF) of 69846 and 69853 is 7.

GCF(69846,69853) = 7

We will now calculate the prime factors of 69846 and 69853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69846 and 69853.

How to find the GCF of 69846 and 69853?

We will first find the prime factorization of 69846 and 69853. After we will calculate the factors of 69846 and 69853 and find the biggest common factor number .

Step-1: Prime Factorization of 69846

Prime factors of 69846 are 2, 3, 7, 1663. Prime factorization of 69846 in exponential form is:

69846 = 2¹ × 3¹ × 7¹ × 1663¹

Step-2: Prime Factorization of 69853

Prime factors of 69853 are 7, 17, 587. Prime factorization of 69853 in exponential form is:

69853 = 7¹ × 17¹ × 587¹

Step-3: Factors of 69846

List of positive integer factors of 69846 that divides 69846 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1663, 3326, 4989, 9978, 11641, 23282, 34923

Step-4: Factors of 69853

List of positive integer factors of 69853 that divides 69846 without a remainder.

1, 7, 17, 119, 587, 4109, 9979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69846 and 69853. The biggest common factor number is the GCF number.
So the greatest common factor 69846 and 69853 is 7.

Also check out the Least Common Multiple of 69846 and 69853