What is the Greatest Common Factor of 87332 and 87352?
Greatest common factor (GCF) of 87332 and 87352 is 4.
GCF(87332,87352) = 4
We will now calculate the prime factors of 87332 and 87352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87332 and 87352.
How to find the GCF of 87332 and 87352?
We will first find the prime factorization of 87332 and 87352. After we will calculate the factors of 87332 and 87352 and find the biggest common factor number .
Step-1: Prime Factorization of 87332
Prime factors of 87332 are 2, 7, 3119. Prime factorization of 87332 in exponential form is:
87332 = 22 × 71 × 31191
Step-2: Prime Factorization of 87352
Prime factors of 87352 are 2, 61, 179. Prime factorization of 87352 in exponential form is:
87352 = 23 × 611 × 1791
Step-3: Factors of 87332
List of positive integer factors of 87332 that divides 87332 without a remainder.
1, 2, 4, 7, 14, 28, 3119, 6238, 12476, 21833, 43666
Step-4: Factors of 87352
List of positive integer factors of 87352 that divides 87332 without a remainder.
1, 2, 4, 8, 61, 122, 179, 244, 358, 488, 716, 1432, 10919, 21838, 43676
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 87332 and 87352. The biggest common factor number is the GCF number.
So the greatest common factor 87332 and 87352 is 4.
Also check out the Least Common Multiple of 87332 and 87352
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