What is the Greatest Common Factor of 69860 and 69874?

Greatest common factor (GCF) of 69860 and 69874 is 14.

GCF(69860,69874) = 14

We will now calculate the prime factors of 69860 and 69874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69860 and 69874.

How to find the GCF of 69860 and 69874?

We will first find the prime factorization of 69860 and 69874. After we will calculate the factors of 69860 and 69874 and find the biggest common factor number .

Step-1: Prime Factorization of 69860

Prime factors of 69860 are 2, 5, 7, 499. Prime factorization of 69860 in exponential form is:

69860 = 2² × 5¹ × 7¹ × 499¹

Step-2: Prime Factorization of 69874

Prime factors of 69874 are 2, 7, 23, 31. Prime factorization of 69874 in exponential form is:

69874 = 2¹ × 7² × 23¹ × 31¹

Step-3: Factors of 69860

List of positive integer factors of 69860 that divides 69860 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 499, 998, 1996, 2495, 3493, 4990, 6986, 9980, 13972, 17465, 34930

Step-4: Factors of 69874

List of positive integer factors of 69874 that divides 69860 without a remainder.

1, 2, 7, 14, 23, 31, 46, 49, 62, 98, 161, 217, 322, 434, 713, 1127, 1426, 1519, 2254, 3038, 4991, 9982, 34937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69860 and 69874. The biggest common factor number is the GCF number.
So the greatest common factor 69860 and 69874 is 14.

Also check out the Least Common Multiple of 69860 and 69874