What is the Greatest Common Factor of 83874 and 83888?

Greatest common factor (GCF) of 83874 and 83888 is 14.

GCF(83874,83888) = 14

We will now calculate the prime factors of 83874 and 83888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83874 and 83888.

How to find the GCF of 83874 and 83888?

We will first find the prime factorization of 83874 and 83888. After we will calculate the factors of 83874 and 83888 and find the biggest common factor number .

Step-1: Prime Factorization of 83874

Prime factors of 83874 are 2, 3, 7, 1997. Prime factorization of 83874 in exponential form is:

83874 = 2¹ × 3¹ × 7¹ × 1997¹

Step-2: 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-3: Factors of 83874

List of positive integer factors of 83874 that divides 83874 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1997, 3994, 5991, 11982, 13979, 27958, 41937

Step-4: Factors of 83888

List of positive integer factors of 83888 that divides 83874 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83874 and 83888. The biggest common factor number is the GCF number.
So the greatest common factor 83874 and 83888 is 14.

Also check out the Least Common Multiple of 83874 and 83888