What is the Greatest Common Factor of 85624 and 85629?

Greatest common factor (GCF) of 85624 and 85629 is 1.

GCF(85624,85629) = 1

We will now calculate the prime factors of 85624 and 85629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85624 and 85629.

How to find the GCF of 85624 and 85629?

We will first find the prime factorization of 85624 and 85629. After we will calculate the factors of 85624 and 85629 and find the biggest common factor number .

Step-1: Prime Factorization of 85624

Prime factors of 85624 are 2, 7, 11, 139. Prime factorization of 85624 in exponential form is:

85624 = 2³ × 7¹ × 11¹ × 139¹

Step-2: Prime Factorization of 85629

Prime factors of 85629 are 3, 17, 23, 73. Prime factorization of 85629 in exponential form is:

85629 = 3¹ × 17¹ × 23¹ × 73¹

Step-3: Factors of 85624

List of positive integer factors of 85624 that divides 85624 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 139, 154, 278, 308, 556, 616, 973, 1112, 1529, 1946, 3058, 3892, 6116, 7784, 10703, 12232, 21406, 42812

Step-4: Factors of 85629

List of positive integer factors of 85629 that divides 85624 without a remainder.

1, 3, 17, 23, 51, 69, 73, 219, 391, 1173, 1241, 1679, 3723, 5037, 28543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85624 and 85629. The biggest common factor number is the GCF number.
So the greatest common factor 85624 and 85629 is 1.

Also check out the Least Common Multiple of 85624 and 85629