What is the Greatest Common Factor of 35987 and 35994?

Greatest common factor (GCF) of 35987 and 35994 is 7.

GCF(35987,35994) = 7

We will now calculate the prime factors of 35987 and 35994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35987 and 35994.

How to find the GCF of 35987 and 35994?

We will first find the prime factorization of 35987 and 35994. After we will calculate the factors of 35987 and 35994 and find the biggest common factor number .

Step-1: Prime Factorization of 35987

Prime factors of 35987 are 7, 53, 97. Prime factorization of 35987 in exponential form is:

35987 = 7¹ × 53¹ × 97¹

Step-2: Prime Factorization of 35994

Prime factors of 35994 are 2, 3, 7, 857. Prime factorization of 35994 in exponential form is:

35994 = 2¹ × 3¹ × 7¹ × 857¹

Step-3: Factors of 35987

List of positive integer factors of 35987 that divides 35987 without a remainder.

1, 7, 53, 97, 371, 679, 5141

Step-4: Factors of 35994

List of positive integer factors of 35994 that divides 35987 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 857, 1714, 2571, 5142, 5999, 11998, 17997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35987 and 35994. The biggest common factor number is the GCF number.
So the greatest common factor 35987 and 35994 is 7.

Also check out the Least Common Multiple of 35987 and 35994