What is the Greatest Common Factor of 69919 and 69936?

Greatest common factor (GCF) of 69919 and 69936 is 1.

GCF(69919,69936) = 1

We will now calculate the prime factors of 69919 and 69936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69919 and 69936.

How to find the GCF of 69919 and 69936?

We will first find the prime factorization of 69919 and 69936. After we will calculate the factors of 69919 and 69936 and find the biggest common factor number .

Step-1: Prime Factorization of 69919

Prime factors of 69919 are 29, 2411. Prime factorization of 69919 in exponential form is:

69919 = 29¹ × 2411¹

Step-2: Prime Factorization of 69936

Prime factors of 69936 are 2, 3, 31, 47. Prime factorization of 69936 in exponential form is:

69936 = 2⁴ × 3¹ × 31¹ × 47¹

Step-3: Factors of 69919

List of positive integer factors of 69919 that divides 69919 without a remainder.

1, 29, 2411

Step-4: Factors of 69936

List of positive integer factors of 69936 that divides 69919 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 47, 48, 62, 93, 94, 124, 141, 186, 188, 248, 282, 372, 376, 496, 564, 744, 752, 1128, 1457, 1488, 2256, 2914, 4371, 5828, 8742, 11656, 17484, 23312, 34968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69919 and 69936. The biggest common factor number is the GCF number.
So the greatest common factor 69919 and 69936 is 1.

Also check out the Least Common Multiple of 69919 and 69936