What is the Greatest Common Factor of 83888 and 83902?

Greatest common factor (GCF) of 83888 and 83902 is 14.

GCF(83888,83902) = 14

We will now calculate the prime factors of 83888 and 83902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83888 and 83902.

How to find the GCF of 83888 and 83902?

We will first find the prime factorization of 83888 and 83902. After we will calculate the factors of 83888 and 83902 and find the biggest common factor number .

Step-1: Prime Factorization of 83888

Prime factors of 83888 are 2, 7, 107. Prime factorization of 83888 in exponential form is:

83888 = 2⁴ × 7² × 107¹

Step-2: Prime Factorization of 83902

Prime factors of 83902 are 2, 7, 13, 461. Prime factorization of 83902 in exponential form is:

83902 = 2¹ × 7¹ × 13¹ × 461¹

Step-3: Factors of 83888

List of positive integer factors of 83888 that divides 83888 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 107, 112, 196, 214, 392, 428, 749, 784, 856, 1498, 1712, 2996, 5243, 5992, 10486, 11984, 20972, 41944

Step-4: Factors of 83902

List of positive integer factors of 83902 that divides 83888 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 461, 922, 3227, 5993, 6454, 11986, 41951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83888 and 83902. The biggest common factor number is the GCF number.
So the greatest common factor 83888 and 83902 is 14.

Also check out the Least Common Multiple of 83888 and 83902