What is the Greatest Common Factor of 69678 and 69692?

Greatest common factor (GCF) of 69678 and 69692 is 14.

GCF(69678,69692) = 14

We will now calculate the prime factors of 69678 and 69692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69678 and 69692.

How to find the GCF of 69678 and 69692?

We will first find the prime factorization of 69678 and 69692. After we will calculate the factors of 69678 and 69692 and find the biggest common factor number .

Step-1: Prime Factorization of 69678

Prime factors of 69678 are 2, 3, 7, 79. Prime factorization of 69678 in exponential form is:

69678 = 2¹ × 3² × 7² × 79¹

Step-2: Prime Factorization of 69692

Prime factors of 69692 are 2, 7, 19, 131. Prime factorization of 69692 in exponential form is:

69692 = 2² × 7¹ × 19¹ × 131¹

Step-3: Factors of 69678

List of positive integer factors of 69678 that divides 69678 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 79, 98, 126, 147, 158, 237, 294, 441, 474, 553, 711, 882, 1106, 1422, 1659, 3318, 3871, 4977, 7742, 9954, 11613, 23226, 34839

Step-4: Factors of 69692

List of positive integer factors of 69692 that divides 69678 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 131, 133, 262, 266, 524, 532, 917, 1834, 2489, 3668, 4978, 9956, 17423, 34846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69678 and 69692. The biggest common factor number is the GCF number.
So the greatest common factor 69678 and 69692 is 14.

Also check out the Least Common Multiple of 69678 and 69692